Arbeitspapier

Sensitivity of the Eisenberg-Noe Clearing Vector to Individual Interbank Liabilities

We quantify the sensitivity of the Eisenberg-Noe clearing vector to estimation errors in the bilateral liabilities of a financial system. The interbank liabilities matrix is a crucial input to the computation of the clearing vector. However, in practice central bankers and regulators must often estimate this matrix because complete information on bilateral liabilities is rarely available. As a result, the clearing vector may suffer from estimation errors in the liabilities matrix. We quantify the clearing vector's sensitivity to such estimation errors and show that its directional derivatives are, like the clearing vector itself, solutions of fixed point equations. We describe estimation errors utilizing a basis for the space of matrices representing permissible perturbations and derive analytical solutions to the maximal deviations of the Eisenberg-Noe clearing vector. This allows us to compute upper bounds for the worst case perturbations of the clearing vector. Moreover, we quantify the probability of observing clearing vector deviations of a certain magnitude, for uniformly or normally distributed errors in the relative liability matrix. Applying our methodology to a dataset of European banks, we find that perturbations to the relative liabilities can result in economically sizeable differences that could lead to an underestimation of the risk of contagion. Importantly, our results allow regulators to bound the error of their simulations.

ISBN
978-82-7553-991-3
Sprache
Englisch

Erschienen in
Series: Working Paper ; No. 13/2017

Klassifikation
Wirtschaft
Thema
systemic risk
model risk
Eisenberg-Noe clearing vector
sensitivity analysis
interbank networks
contagion

Ereignis
Geistige Schöpfung
(wer)
Feinstein, Zachary
Pang, Weijie
Rudloff, Birgit
Schaanning, Eric
Sturm, Stephan
Wildman, Mackenzie
Ereignis
Veröffentlichung
(wer)
Norges Bank
(wo)
Oslo
(wann)
2017

Handle
Letzte Aktualisierung
10.03.2025, 11:42 MEZ

Datenpartner

Dieses Objekt wird bereitgestellt von:
ZBW - Deutsche Zentralbibliothek für Wirtschaftswissenschaften - Leibniz-Informationszentrum Wirtschaft. Bei Fragen zum Objekt wenden Sie sich bitte an den Datenpartner.

Objekttyp

  • Arbeitspapier

Beteiligte

  • Feinstein, Zachary
  • Pang, Weijie
  • Rudloff, Birgit
  • Schaanning, Eric
  • Sturm, Stephan
  • Wildman, Mackenzie
  • Norges Bank

Entstanden

  • 2017

Ähnliche Objekte (12)